381730419840 has 512 divisors, whose sum is σ = 1520215050240. Its totient is φ = 79152906240.

The previous prime is 381730419823. The next prime is 381730419881. The reversal of 381730419840 is 48914037183.

It is a happy number.

It is a super-2 number, since 2×381730419840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 381730419840.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77317852 + ... + 77322788.

It is an arithmetic number, because the mean of its divisors is an integer number (2969170020).

Almost surely, 2^381730419840 is an apocalyptic number.

381730419840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381730419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760107525120).

381730419840 is an abundant number, since it is smaller than the sum of its proper divisors (1138484630400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381730419840 is a wasteful number, since it uses less digits than its factorization.

381730419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5500 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 381730419840 in words is "three hundred eighty-one billion, seven hundred thirty million, four hundred nineteen thousand, eight hundred forty".